Danika signs up to work for 3 1/2 hours at the science fair. if each work shift is 3/4 hour, how many shifts will danika work?
show your work.

namely, how many times does 3/4 go into 3½?  Let's firstly convert the mixed fraction to improper fraction.

Danika signed up to work for 3.5 hours at the science fair, if each work shift is 3/4 hour = 0.75 hours, the amount of shifts will be:

Shifts = 3.5/0.75 = 4,66 ≈ 5 shifts. Given that shifts have to be an integer number, we need to round the result to the nearest integrer.

Therefore, Danika will work 5 shifts.

42 inches then 10 1/2 deep

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse